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Finding the Third Proportional to 213.23 and 339.08

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Solution

The third proportional to 213.23 and 339.08 is: 539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.23 : 339.08 = 339.08 : x
  2. Step 2: Convert to fraction form
    213.23/339.08 = 339.08/x
  3. Step 3: Cross multiply
    213.23x = 339.08 × 339.08
  4. Step 4: Simplify right side
    213.23x = 114,976.62
  5. Step 5: Solve for x
    x = 114,976.62/213.23
  6. Step 6: Final answer
    x = 539.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.